192938394000 has 320 divisors, whose sum is σ = 683496253440. Its totient is φ = 46434240000.

The previous prime is 192938393971. The next prime is 192938394007. The reversal of 192938394000 is 493839291.

It is a super-3 number, since 3×192938394000³ (a number of 35 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (192938394007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9163485 + ... + 9184515.

It is an arithmetic number, because the mean of its divisors is an integer number (2135925792).

Almost surely, 2^192938394000 is an apocalyptic number.

192938394000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192938394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341748126720).

192938394000 is an abundant number, since it is smaller than the sum of its proper divisors (490557859440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

192938394000 is a wasteful number, since it uses less digits than its factorization.

192938394000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21207 (or 21191 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 192938394000 in words is "one hundred ninety-two billion, nine hundred thirty-eight million, three hundred ninety-four thousand".